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Finding the Fourth Proportional to 22.40, 33.52 and 15.28

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Solution

The fourth proportional to 22.40, 33.52 and 15.28 is: 22.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.40 : 33.52 = 15.28 : x
  2. Step 2: Convert to fraction form
    22.40/33.52 = 15.28/x
  3. Step 3: Cross multiply
    22.40x = 33.52 × 15.28
  4. Step 4: Simplify right side
    22.40x = 512.19
  5. Step 5: Solve for x
    x = 512.19/22.40
  6. Step 6: Final answer
    x = 22.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.